Classification of a class of planar quadrinomials

Chin Hei Chan; Maosheng Xiong

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arXiv · 2404.14291

Classification of a class of planar quadrinomials

Chin Hei Chan·Maosheng Xiong

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Abstract

Let $p$ be an odd prime, $k,\ell$ be positive integers, $q=p^k, Q=p^{\ell}$. In this paper we characterise planar functions of the form $f_{\underline{c}}(X)=c_0X^{qQ+q}+c_1X^{qQ+1}+c_2X^{Q+q}+c_3X^{Q+1}$ over $\mathbb{F}_{q^2}$ for any $\underline{c}=(c_0,c_1,c_2,c_3) \in \mathbb{F}_{q^2}^4$ in terms of linear equivalence.

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Chin Hei Chan, Maosheng Xiong. 2024-04-22. Classification of a class of planar quadrinomials. https://arxiv.org/abs/2404.14291

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